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Finding the Fourth Proportional to 17,206.68, 25,820.94 and 7,346.03

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Solution

The fourth proportional to 17,206.68, 25,820.94 and 7,346.03 is: 11,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.68 : 25,820.94 = 7,346.03 : x
  2. Step 2: Convert to fraction form
    17,206.68/25,820.94 = 7,346.03/x
  3. Step 3: Cross multiply
    17,206.68x = 25,820.94 × 7,346.03
  4. Step 4: Simplify right side
    17,206.68x = 189,681,399.87
  5. Step 5: Solve for x
    x = 189,681,399.87/17,206.68
  6. Step 6: Final answer
    x = 11,023.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.